Let `A={2,\ 3,\ 4,\ 5}` and `B={1,3,\ 4}` . If `R` is the relation from `A` to `B` given by `a\ R\ b` iff `a\ ` is a divisor of `b` . Write `R` as a set of ordered pairs.

Answer

` R={(2,4),(3,3),(4,4)}`

Explanation

`A={2,3,4,5}`

`B={1,3,4}`


Since `R=`{`(a, b): a, b in N` : a is a divisor of b}

As `a in A` and `b in B`


now, 2 divides 4 , `[2 in A` and `4 in B]`

3 divides 3 , `[3 in A` and `3 in B]`

4 divides 4 ,`[4 in A` and `4 in B]`


...